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Question Number 217931 by CrispyXYZ last updated on 23/Mar/25 $$\mathrm{Given}\:\mathrm{a}\:\mathrm{regular}\:\mathrm{triangle}\:{ABC}. \\ $$$${AG}=\mathrm{2}{GC}.\:{CK}=\mathrm{2}{KB}.\:{AK}\cap{BG}={M}. \\ $$$$\mathrm{Prove}\:\mathrm{that}\:{CM}\bot{AK}. \\ $$ Commented by CrispyXYZ last updated on 23/Mar/25 Answered by…
Question Number 217921 by Unhombre last updated on 23/Mar/25 $${solve}\:{it}: \\ $$$$\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+…}}} \\ $$ Answered by Rasheed.Sindhi last updated on 24/Mar/25 $${x}=\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+\frac{\mathrm{3}}{\mathrm{2}+…}}}>\mathrm{0} \\ $$$${x}=\mathrm{2}+\frac{\mathrm{3}}{{x}} \\…
Question Number 217855 by yamane last updated on 22/Mar/25 $${i}\:{need}\:{help}\: \\ $$$$\int_{\mathrm{0}} ^{\mathrm{1}} {x}^{{n}} \left({e}^{−\frac{{x}^{\mathrm{2}} }{\mathrm{2}}} \right){dx}\:\:,\left({n}\in\mathbb{N}\right) \\ $$ Answered by mr W last updated…
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Question Number 217872 by hardmath last updated on 22/Mar/25 $$\mathrm{a}\:,\:\mathrm{b}\:,\:\mathrm{c}\:>\:\mathrm{0} \\ $$$$\mathrm{ab}\:+\:\mathrm{ac}\:+\:\mathrm{bc}\:=\:\mathrm{1} \\ $$$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\sqrt{\mathrm{a}^{\mathrm{3}} \:+\:\mathrm{a}}\:\:+\:\:\sqrt{\mathrm{b}^{\mathrm{3}} \:+\:\mathrm{b}}\:\:+\:\:\sqrt{\mathrm{c}^{\mathrm{3}} \:+\:\mathrm{c}}\:\:\geqslant\:\mathrm{2}\:\sqrt{\mathrm{a}\:+\:\mathrm{b}\:+\:\mathrm{c}} \\ $$ Terms of Service Privacy…
Question Number 217873 by ahmed2025 last updated on 22/Mar/25 $${What}\:{is}\:\mathrm{5}^{!\:} =\:? \\ $$ Commented by mr W last updated on 23/Mar/25 $${i}\:{don}'{t}\:{think}\:\mathrm{5}^{!} \:{is}\:{a}\:{common}\:{valid} \\ $$$${mathematical}\:{notation},\:{while}\:\mathrm{5}!,…
Question Number 217842 by aylinrabbani last updated on 22/Mar/25 $${f}\left({x}\right)=\sqrt{{x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{10}} \\ $$$${f}\left(\mathrm{3}+\mathrm{2}\sqrt{\mathrm{6}}\right)=? \\ $$ Answered by Rasheed.Sindhi last updated on 22/Mar/25 $${f}\left({x}\right)=\sqrt{{x}^{\mathrm{2}} −\mathrm{6}{x}+\mathrm{10}} \\…
Question Number 217843 by hardmath last updated on 22/Mar/25 Commented by AntonCWX8 last updated on 22/Mar/25 $${What}\:{does}\:{the}\:{R}\:{and}\:{r}\:{represents}? \\ $$ Commented by hardmath last updated on…
Question Number 217837 by SdC355 last updated on 22/Mar/25 $$\mathrm{do}\:\mathrm{you}\:\mathrm{guys}\:\mathrm{know}\:\mathrm{about}\:\mathrm{Three}\:\mathrm{Body}\:\mathrm{problem}?? \\ $$$$\mathrm{when}\:\mathrm{2}−\mathrm{Body}\:\mathrm{problem}\: \\ $$$$\mathrm{we}\:\mathrm{can}\:\mathrm{solve}\:\mathrm{equation}\:\mathrm{of}\:\mathrm{motions}\:\overset{\rightarrow} {\boldsymbol{\mathrm{x}}}_{\mathrm{1}} \left({t}\right)\:,\:\overset{\rightarrow} {\boldsymbol{\mathrm{x}}}_{\mathrm{2}} \left({t}\right) \\ $$$$\mathrm{but}\:\mathrm{why}\:\mathrm{we}\:\mathrm{can}'\mathrm{t}\:\mathrm{solve}\:\mathrm{3}−\mathrm{body}\:\mathrm{problem}? \\ $$$$\mathrm{The}\:\mathrm{reason}\:\mathrm{why}\:\mathrm{we}\:\mathrm{can}'\mathrm{t}\:\mathrm{solve}\:\mathrm{3}−\mathrm{Body}\:\mathrm{problem} \\ $$$$\mathrm{is}\:\mathrm{because}\:\mathrm{this}\:\mathrm{Equation}\:\mathrm{isn}'\mathrm{t}\:\:\mathrm{Linear}\:\mathrm{equation}??? \\…